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A Weak Gordon Type Condition for Absence of Eigenvalues of One-dimensional Schrödinger Operators

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Abstract

We study one-dimensional Schrödinger operators with complex measures as potentials and present an improved criterion for absence of eigenvalues which involves a weak local periodicity condition. The criterion leads to sharp quantitative bounds on the eigenvalues. We apply our result to quasiperiodic measures as potentials.

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität Hamburg-Harburg, 21073, Hamburg, Germany

    Christian Seifert & Hendrik Vogt

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  1. Christian Seifert
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  2. Hendrik Vogt
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Correspondence to Christian Seifert.

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Seifert, C., Vogt, H. A Weak Gordon Type Condition for Absence of Eigenvalues of One-dimensional Schrödinger Operators. Integr. Equ. Oper. Theory 78, 383–405 (2014). https://doi.org/10.1007/s00020-013-2099-4

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  • DOI: https://doi.org/10.1007/s00020-013-2099-4

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